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Some new generalized difference of sequences for fuzzy numbers

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Abstract

In this paper, we examine and study \({\Delta }_{q,\lambda }^{v} {-}\)statistical convergence of order \( {\mu }\) of sequences of fuzzy numbers such that \({0<\mu \le 1,}\) strong \({\Delta }_{q,\lambda _{p}}^{v} {-}\)summability of order \( {\mu }\) of sequences of fuzzy numbers such that \({0<\mu \le 1},\) and construct some interesting examples. We also give relations between these concepts. Furthermore, some relations between the space \( {w}_{\lambda }^{\mu }\left[ {\Delta }_{q}^{v} {,F,\phi ,p}\right] \) and \( {S}_{\lambda }^{\mu }\left[ {\Delta }_{q}^{v} {,F}\right] \) are examined. The modulus function \({\phi }\) presents the containment connection.

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  1. Department of Mathematics, Siirt University, 56000, Siirt, Turkey

    Abdulkadir Karakaş

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Karakaş, A. Some new generalized difference of sequences for fuzzy numbers. Soft Comput 27, 47–55 (2023). https://doi.org/10.1007/s00500-022-07601-y

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